How do i solve this?
1 answer:
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(a) mtan refers to the slope of the tangent line. Given <em>f(x)</em> = 9 + 7<em>x</em> ², compute the difference quotient:
Then as <em>h</em> approaches 0 - bearing in mind that we're specifically considering <em>h</em> <em>near</em> 0, and not <em>h</em> = 0 - we can eliminate the factor of <em>h</em> in the numerator and denominator, so that
and so the slope of the line at <em>P</em> (0, 9), for which we take <em>x</em> = 0, is 0.
(b) The equation of the tangent line is then <em>y</em> = 9.
Answer:
Step-by-step explanation:
Since the shaded area is above the line and the line is solid, you will use the greater-than-or-equal-to sign.
Not to mention inequalities still have a slope and y-intercept. (In this case, the y-intercept will be -5, since the line crosses the y-axis at that point, and the slope will be -2 because the line is going down 2 units and to the right 1 unit.)
Hope this helps :)